%@AUTEUR:Guillaume Connan
prologues:=2;

verbatimtex
%&latex
\documentclass{article}
\begin{document}
etex

input courbes;
input geo;

color vert_e, turquoise, orange, vert_fonce, rose, vert_mer, bleu_ciel, or, rouge_v,bleu_m,bleu,bleu_f;
vert_e:=(0,0.790002,0.340007);
turquoise:=(0.250999,0.878399,0.815699);
orange:=(0.589999,0.269997,0.080004);
vert_fonce:=(0,1.4*0.392193,0);
rose:=(1.0, 0.752907, 0.796106);
bleu_ciel:=(1.2*0.529405,1.2*0.807794,1);%.2*0.921598);
or:=(1,0.843104,0);
rouge_v:=(0.829997,0.099994,0.119999);
bleu_m:=(0.7*0.529405,0.7*0.807794,0.7);%*0.921598);
bleu_f:=(0.211762,0.3231176,0.3686392);
bleu:=(0.529405,0.807794,1);

% Déclarations des constantes %
numeric xmin, xmax, ymin, ymax, N;

ux:=.005cm;  uy:=.004cm;
xmin := -280 ; xmax :=900;
ymin := -350; ymax :=900;

% Définitions des axes et labels associés
numeric p,q; % shift des axes
p:=200;
q:=120;
vardef axes =
  drawarrow ((ux*xmin,0) -- (ux*xmax,0))shifted (0,p*uy) ; % axe des x
  drawarrow ((0,uy*ymin) -- (0,uy*ymax))shifted (q*ux,0); % axe des y
  label(btex $x$ etex,(950*ux,200*uy)); % label de l'axe des x
  label(btex $y$ etex,(120*ux,950*uy)); % label de l'axe des y
enddef;

beginfig(1);  
  axes;
  
  vardef f(expr x) =x-50*cosd(x) enddef;
  
  vardef trace (suffix g)(expr a,b,inc) =
    save i; numeric i;
    for i=a step inc until b:
      (i*ux,g(i)*uy) ..
    endfor (b*ux,g(b)*uy)
  enddef;
  
  path P;
  P:=trace(f,-280,830,10) ;
  draw P withcolor bleu_m;
  
  label.rt(btex $y=x-\cos x$ etex,(830*ux,f(830)*uy)) withcolor bleu_m;
  
% Tangentes horizontales
  pair A,B,C,D,T,a,b,c,d;
  
  A=(-110*ux,0) ;
  B=(250*ux,0);
  C=(610*ux,0);
  a=(-110*ux,f(-110)*uy);
  b=(250*ux,f(250)*uy);
  c=(610*ux,f(610)*uy);
  T=(80*ux,0);
  drawarrow (a--(a shifted T))withcolor bleu_f;
  drawarrow (a--(a shifted -T))withcolor bleu_f;
  
  drawarrow (b--(b shifted T))withcolor bleu_f;
  drawarrow (b--(b shifted -T))withcolor bleu_f;
  
  drawarrow (c--(c shifted T))withcolor bleu_f;
  drawarrow (c--(c shifted -T))withcolor bleu_f;
  
  pair d,e,f;
  d=(a yscaled 0)shifted(0,p*uy);
  draw (a--d) dashed evenly withcolor bleu_f;
  e=(b yscaled 0)shifted(0,p*uy);
  draw (b--e) dashed evenly withcolor bleu_f;
  f=(c yscaled 0)shifted(0,p*uy);
  draw (c--f) dashed evenly withcolor bleu_f;
  
  draw (d shifted (0,20*uy))--(d shifted (0,-20*uy)) withcolor bleu_f;
  label.top(btex \small{$\displaystyle\frac{-3\pi}{2}$} etex,d shifted (0,20*uy)) withcolor bleu_f;
  draw (e shifted (0,20*uy))--(e shifted (0,-20*uy)) withcolor bleu_f;
  label.bot(btex \small{$\displaystyle\frac{\pi}{2}$} etex,e shifted (0,-20*uy)) withcolor bleu_f;
  draw (f shifted (0,20*uy))--(f shifted (0,-20*uy)) withcolor bleu_f;
  label.bot(btex \small{$\displaystyle\frac{5\pi}{2}$} etex,f shifted (0,-20*uy)) withcolor bleu_f;
  label.ulft(btex \small{$0$} etex,((q-20)*ux,(p+20)*uy));
endfig;
end